Is the Electric Field Always Zero on an Imaginary Surface Containing No Charge?

geronimo8
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Homework Statement


A certain region of space bounded by an imaginary closed surface contains no charge.
Is the electric field always zero on the surface? If not, under what circumstances is it zero on the surface?


Homework Equations


Φ = Qenclosed÷εo = EA


The Attempt at a Solution


Since the imaginary surface need no any material object. I think the E refres to the inside surface, so it is not zero...
 
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Imagine the field produced by a single positive point charge at the origin, you know what the field looks like. Now, draw your surface as a sphere that does not include the origin. What does the field look like on the surface? Is it zero?
 
I can't imagine that clearly... *sigh* sorry...
 
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One question related to this problem: When you get asked about the electric field on the surface is it the average electric field over the surface?? I mean, in the case of a sphere, only when having the charge in the center will you have the same electric field all throughout the surface...
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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